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Re: Calculus`FourierTransform`


  • To: mathgroup@smc.vnet.net
  • Subject: [mg11677] Re: Calculus`FourierTransform`
  • From: "Stephen P Luttrell" <luttrell@signal.dra.hmg.gb>
  • Date: Sat, 21 Mar 1998 18:35:13 -0500
  • Organization: Defence Evaluation and Research Agency
  • References: <6emdjm$nno@smc.vnet.net> <6esone$68d@smc.vnet.net>

>...
>The fourier package seems to be very scrappy. I had to jump through
>hoops to get the FT of a rectangular pulse to come out as Sin(x)/x, and
>when I tried to get it in terms of T (pulse width) it just dies. It
>only gives me a valid answer if I set T=1 or similar.
>...


The following code:

Needs["Calculus`FourierTransform`"]; Needs["Calculus`DiracDelta`"];
FourierTransform[UnitStep[x+1]-UnitStep[x-1],x,k]

yields the output:

(2*Sin[k])/k

==========================================

Stephen P Luttrell
luttrell@signal.dra.hmg.gb
Adaptive Systems Theory                           01684-894046 (phone)
Room EX21, DERA                                    01684-894384 (fax)
Malvern, Worcs, WR14 3PS, U.K.
http://www.dra.hmg.gb/cis5pip/Welcome.html




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